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Simplifying 2log(3x + 1) = log(2x + 4) + 1 Reorder the terms: 2glo(1 + 3x) = log(2x + 4) + 1 (1 * 2glo + 3x * 2glo) = log(2x + 4) + 1 (2glo + 6glox) = log(2x + 4) + 1 Reorder the terms: 2glo + 6glox = glo(4 + 2x) + 1 2glo + 6glox = (4 * glo + 2x * glo) + 1 2glo + 6glox = (4glo + 2glox) + 1 Reorder the terms: 2glo + 6glox = 1 + 4glo + 2glox Solving 2glo + 6glox = 1 + 4glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 2glo + -4glo + 6glox = 1 + 4glo + -4glo + 2glox Combine like terms: 2glo + -4glo = -2glo -2glo + 6glox = 1 + 4glo + -4glo + 2glox Combine like terms: 4glo + -4glo = 0 -2glo + 6glox = 1 + 0 + 2glox -2glo + 6glox = 1 + 2glox Add '-2glox' to each side of the equation. -2glo + 6glox + -2glox = 1 + 2glox + -2glox Combine like terms: 6glox + -2glox = 4glox -2glo + 4glox = 1 + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glo + 4glox = 1 + 0 -2glo + 4glox = 1 Reorder the terms: -1 + -2glo + 4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -2glo + 4glox = 0 The solution to this equation could not be determined.
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